Ergodicity breaking transition in zero dimensions
arXiv:2203.08844 · doi:10.1103/PhysRevLett.129.060602
Abstract
It is of great current interest to establish toy models of ergodicity breaking transitions in quantum many-body systems. Here we study a model that is expected to exhibit an ergodic to nonergodic transition in the thermodynamic limit upon tuning the coupling between an ergodic quantum dot and distant particles with spin-1/2. The model is effectively zero dimensional, however, a variant of the model was proposed by De Roeck and Huveneers to describe the avalanche mechanism of ergodicity breaking transition in one-dimensional disordered spin chains. We show that exact numerical results based on the spectral form factor calculation accurately agree with theoretical predictions, and hence unambiguously confirm existence of the ergodicity breaking transition in this model. We benchmark specific properties that represent hallmarks of the ergodicity breaking transition in finite systems.
References in corpus (57)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Localization of interacting fermions at high temperature
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- The many-body localization phase transition
- Quantum many-body systems out of equilibrium
- Relaxation and Pre-thermalization in an Isolated Quantum System
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Exploring the many-body localization transition in two dimensions
- Many-body localization in a quantum simulator with programmable random disorder
- Experimental Observation of a Generalized Gibbs Ensemble
- Eigenstate Thermalization Hypothesis
- The approach to thermal equilibrium in quantized chaotic systems
- Probing entanglement in a many-body-localized system
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Finite-temperature transport in one-dimensional quantum lattice models
- Quantum chaos challenges many-body localization
- Stability and instability towards delocalization in MBL systems
- Quasilocal charges in integrable lattice systems
- Avalanches and many-body resonances in many-body localized systems
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Prethermalization and thermalization in models with weak integrability breaking
- Thouless time analysis of Anderson and many-body localization transitions
- Thermalization near integrability in a dipolar quantum Newton's cradle
- Dynamical obstruction to localization in a disordered spin chain
- Distinguishing localization from chaos: challenges in finite-size systems
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- Evidence for unbounded growth of the number entropy in many-body localized phases
- How a small quantum bath can thermalize long localized chains
- Challenges to observation of many-body localization
- Absence of true localization in many-body localized phases
- Integrability of a disordered Heisenberg spin-1/2 chain
- Eigenstate Thermalization in a Locally Perturbed Integrable System
- Shift-invert diagonalization of large many-body localizing spin chains
- Observation of Dynamical Fermionization
- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Thermalization and light cones in a model with weak integrability breaking
- Local quenches with global effects in interacting quantum systems
- Universality in the onset of quantum chaos in many-body systems
- Is there slow particle transport in the MBL phase?
- Avalanche induced co-existing localised and thermal regions in disordered chains
- Thermal inclusions: how one spin can destroy a many-body localized phase
- Quantum Quenches and Relaxation Dynamics in the Thermodynamic Limit
- Resonance-induced growth of number entropy in strongly disordered systems
- Incoherent transport induced by a single static impurity in a Heisenberg chain
- Critical Exponent of the Anderson Transition using Massively Parallel Supercomputing
- Phenomenology of spectral functions in disordered spin chains at infinite temperature
- Constraints induced delocalization
- Relaxation of Bosons in One Dimension and the Onset of Dimensional Crossover
- Phenomenology of anomalous transport in disordered one-dimensional systems
- Detecting delocalization-localization transitions from full density distributions
- Exponential damping induced by random and realistic perturbations
- Signatures of a critical point in the many-body localization transition
- Relaxation at different length-scales in models of many-body localization